\(\widehat{A}=2\widehat{B}=6\widehat{C}\Rightarrow\frac{\widehat{A}}{12}=\frac{2\widehat{B}}{12}=\frac{6\widehat{C}}{12}=\frac{\widehat{A}}{12}=\frac{\widehat{B}}{6}=\frac{\widehat{C}}{2}=\frac{\widehat{A}+\widehat{B}+\widehat{C}}{12+6+2}=\frac{180^o}{20}=9\)
=>góc A = 108 độ, góc B = 54 đô, góc C = 18 độ
Ta có : \(\widehat{A}=2\widehat{B}=6\widehat{C}\Leftrightarrow\frac{\widehat{A}}{6}=\frac{\widehat{2B}}{6}=\frac{\widehat{6C}}{6}\)
; \(\widehat{A}+\widehat{B}+\widehat{C}=180^o\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{\widehat{A}}{6}=\frac{\widehat{B}}{3}=\frac{\widehat{C}}{1}=\frac{\widehat{A}+\widehat{B}+\widehat{C}}{6+3+1}=\frac{180^o}{10}=18^o\)
\(\hept{\begin{cases}\frac{\widehat{A}}{6}=18^o\Rightarrow\widehat{A}=18^o.6=108^o\\\frac{\widehat{B}}{3}=18^o\Rightarrow\widehat{B}=18^o.3=54^o\\\widehat{C}=18^o\end{cases}}\)
Vậy ....
